Jackpot chance for randomly picked seat positions at mixed tables featuring community side bets

A machine system that is programmed to link together a plurality of gaming tables each having a respective plurality of respective betting positions such that the linked-together tables can provide for placement of respective community-based side bets at their respective betting positions wherein the placed side bets contribute to a shared multi-table progressive prize pool and wherein at least one of the tables is different from another of said tables, the system comprising:

• target establishing means for establishing a target probability P(Target) for each respective betting position at which a side bet has been placed on a respective community event of a respective one of the linked-together tables such that all respective betting positions at which respective side bets of equal contribution to the shared multi-table progressive prize pool have been placed have a same chance to win the shared multi-table progressive prize;
• and
• probability adjusting means for performing an adjustment based on a corresponding respective probability of occurrence P(Trigger_a)X of the respective community event at each respective one of the linked-together tables and based on a respective corresponding number of operational betting positions NX at each respective one of the linked-together tables, the performed adjustment adjusting the probability of occurrence of a win of the shared multi-table progressive prize at the respective table by a given betting position at which a side bet has been placed, where the prize is awarded exclusively to the given betting position if the given betting position is selected by chance among the respective NX operational betting positions of the respective table, where the adjustment uses at least one of table-specific probability-weighting and table-specific probability-supplementing to assure that each respective betting position at which a side bet has been placed on each of the linked-together different gaming tables has an equal chance to win the shared multi-table progressive prize, the equal chance being the established target probability P(Target).

A non-transitory computer readable storage having machine executable instructions recorded therein for causing a corresponding machine system to perform a method of linking together a plurality of gaming tables each having a respective plurality of respective betting positions such that the linked-together tables can provide for placement of respective community-based side bets at their respective betting positions wherein the placed side bets contribute to a shared multi-table progressive prize pool and wherein at least one of the tables is different from another of said tables, the method comprising:

• establishing a target probability P(Target) to be had for each respective betting position at which a side bet had been placed on a respective community event of a respective one of the linked-together tables such that all respective betting positions at which respective side bets of equal contribution to the shared multi-table progressive prize pool had been placed have a same chance to win the shared multi-table progressive prize;
• and
• based on the respective probability of occurrence P(Trigger_a)X of the respective community event at each respective one of the linked-together tables and based on the respective number of operational betting positions NX at each respective one of the linked-together tables, adjusting the probability of occurrence of a win of the shared multi-table progressive prize at the respective table by a given betting position at which a side bet had been placed, where the prize is awarded exclusively to the given betting position if the given betting position is selected by chance among the respective NX operational betting positions of the respective table, where the adjustment uses at least one of table-specific probability-weighting and table-specific probability-supplementing to assure that each respective betting position at which a side bet had been placed on each of the linked-together different gaming tables has an equal chance to win the prize, the equal chance being the established target probability P(Target).